Sun Jiayue, Zhang Huaguang, Wang Yingchun, Shi Zhan
IEEE Trans Cybern. 2022 Oct;52(10):10683-10694. doi: 10.1109/TCYB.2021.3068631. Epub 2022 Sep 19.
This article investigates the fault-tolerant control problem for stochastic switched interval type-2 (IT2) fuzzy time-delayed uncertain systems based on unknown input observer synthesis, which can avoid uneasy measurement on the time derivative of output, and estimate unavailable or partially measurable states, including sensor and actuator faults accurately. First, a desired fuzzy observer is designed to ensure the observer-based dynamic error system mean-square exponentially stable with sufficient condition of a strict (l,ħ,℘) - [Formula: see text]-dissipative performance, which is a unified framework of passivity, and H provides results with less conservativeness. Then, we concentrate on stability analyses on dissipativity-based switched IT2 fuzzy systems with stochastic perturbation through linear matrix inequalities, Lyapunov function, free-weighting matrices, and average dwell time, discussing it according to different values of disturbance. Finally, simulation examples are listed to account for availability and effectiveness of the research methodology.
本文基于未知输入观测器综合方法,研究了随机切换区间二型(IT2)模糊时滞不确定系统的容错控制问题,该方法可避免对输出时间导数进行不易实现的测量,并能准确估计不可用或部分可测状态,包括传感器和执行器故障。首先,设计了一个期望的模糊观测器,以确保基于观测器的动态误差系统在严格(l,ħ,℘)-[公式:见原文]-耗散性能的充分条件下均方指数稳定,这是一个统一的无源性框架,且H提供的结果保守性较小。然后,通过线性矩阵不等式、李雅普诺夫函数、自由加权矩阵和平均驻留时间,对具有随机扰动的基于耗散性的切换IT2模糊系统进行稳定性分析,并根据不同的扰动值进行讨论。最后,列出了仿真示例来说明所提出研究方法的有效性和实用性。